Discontinuity, Nonlinearity, and Complexity
Existence of Solutions of Antiperiodic Boundary Value Problems for a Non Linear Third Order Impulsive Integro Dynamic System on Time Scales
Discontinuity, Nonlinearity, and Complexity 11(4) (2022) 629--643 | DOI:10.5890/DNC.2022.12.005
D. Arunkumar, M. Sivabalan, K. Sathiyanathan
Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore - 641020, India
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Abstract
This paper explores the existence of solutions for the system of impulsive integrodifferential equation with anti-periodic boundary value problems on time scales. Some sufficient conditions for the existence of solutions are established by using Schauder's fixed point theorem and Schaefer fixed point theorem.
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